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Matrices

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Matrix notation, types and construction
1State the order of a matrix and locate its elementsOpen, set of 8LessonPractice
2Identify row, column, square, symmetric and zero matricesOpen, set of 8LessonPractice
3Read information from a labelled data matrixOpen, set of 8LessonPractice
4Read, transpose and classify a matrixOpen, set of 8LessonPractice
5Construct a matrix from labelled information or an entry ruleOpen, set of 8LessonPractice
6Solve a matrix equationOpen, set of 8LessonPractice
7Construct, apply and invert a permutation matrixOpen, set of 8LessonPractice
Linear operations on matrices
8Add and subtract matricesOpen, set of 8LessonPractice
9Find unknown entries in a matrix equationOpen, set of 8LessonPractice
10Multiply a matrix by a scalarOpen, set of 8LessonPractice
11Combine scalar multiples of matricesOpen, set of 8LessonPractice
12Determine whether an inverse exists and calculate itOpen, set of 8LessonPractice
Matrix products, powers and permutations
13Decide whether a matrix product is defined and give its orderOpen, set of 8LessonPractice
14Multiply matricesOpen, set of 8LessonPractice
15Evaluate powers of a square matrixOpen, set of 8LessonPractice
16Identify and construct the identity matrixOpen, set of 8LessonPractice
17Construct, apply and invert a permutation matrixOpen, set of 8LessonPractice
Determinants, inverses and matrix equations
18Find the determinant of a 2 × 2 matrixOpen, set of 8LessonPractice
19Find the inverse of a 2 × 2 matrixOpen, set of 8LessonPractice
20Write simultaneous equations as a matrix equationOpen, set of 8LessonPractice
21Solve simultaneous equations using the inverse matrixOpen, set of 8LessonPractice
22Determine whether an inverse exists and calculate itOpen, set of 8LessonPractice
23Solve a matrix equationOpen, set of 8LessonPractice
Applications of matrix products
24Use matrix multiplication to answer an application questionOpen, set of 8LessonPractice
25Use row and column matrices of ones to extract totalsOpen, set of 8LessonPractice
Communication and dominance matrices
26Represent a network in a matrixOpen, set of 8LessonPractice
27Identify the network a connection matrix describesOpen, set of 8LessonPractice
28Interpret connection sums and symmetryOpen, set of 8LessonPractice
29Count routes using powers of a connection matrixOpen, set of 8LessonPractice
30Construct and analyse relation matricesOpen, set of 8LessonPractice
Chapter 7Chapter 9